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a(n) is the cycle length corresponding to A114727(n).
3

%I #2 Mar 30 2012 17:27:48

%S 2,3,3,18,21,21,3,3,138,156,156,52,3,3,84,84,84,28,84,84,84,84,28,12,

%T 84,28,84,28,28,84,12,3,4,3,1376,1376,406,406,406,406,406,406,406,406,

%U 406,406,406,406,406,406,406,406,406,7,406,58,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7

%N a(n) is the cycle length corresponding to A114727(n).

%C Besides 1 for fixed points the following lengths of cycles with elements <= 250000 occur: 2, 3, 4, 6, 7, 12, 18, 21, 28, 52, 54, 58, 84, 138, 156, 162, 406, 618, 1376, 1854, 2544, 3953, 5562, 16686.

%e A114727(33) = 792 belongs to the 4-cycle (792,1198,1401,995), so a(33) = 4.

%Y Cf. A114650, A114727.

%K nonn

%O 1,1

%A _Klaus Brockhaus_, Dec 29 2005